AMO 2027 Grades 4-5 SET 23 - Self-study Question 6

Find the next fraction in the sequence below.

$$\frac13,\ \frac12,\ \frac59,\ \frac7{12},\ \frac35,\ \ldots$$

Use the simple intended rule: write successive terms with numerators 1,3,5,7,9,… and denominators 3,6,9,12,15,…, then reduce if possible.